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" ... line and the extremities of the base have the same ratio which the other sides of the triangle have to one... "
Alma mater; or, Seven years at the University of Cambridge. By a Trinity-man ... - Page 263
by John Martin F. Wright - 1827
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Cambridge University Examination Papers

University of Cambridge - 1884 - 624 pages
...If the segments between the extremities of the base of a triangle and a point in the base produced have the same ratio which the other sides of the triangle have to one another, the straight line drawn from the vertex to the point of section shall bisect the exterior angle made...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 pages
...a triangle be bisected by a straight line which also cuts the base, the segments of the base shall have the same ratio which the other sides of the triangle have to one another. Find a point C in ACB, a given segment of a circle, such that the straight line AC is double of the...
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Senate Documents, Otherwise Publ. as Public Documents and ..., Volume 3

United States. Congress. Senate - United States - 1880 - 1304 pages
...ratio which the other siib s of the triangle have to one' another; and if the segmente of the baso have the same ratio which the other sides of the triangle have to one another, the straight line drawn, from the vertex to the point of section shall bisect the vertical angle'....
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...a triangle be bisected by a straight line which also cuts the base, the segments of the base shall have the same ratio which the other sides of the triangle have to one another. Find a point C in ACB, a given segment of a circle, such that the straight line AC is double of the...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...sides of the triangle have to one another. (2) Conversely : — If the segments of the base produced have the same ratio which the other sides of the triangle have, the straight line drawn from the vertex to the point of section shall bisect the exterior angle of...
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Report of the Council of Public Instruction of the North-West Territories of ...

Northwest Territories Council of Public Instruction - 1897 - 628 pages
...the same ratio which the other sides of the triangle have to one another. Conversely, if the segments of the base have the same ratio which the other sides of the triangle have to one another the straight line drawn from the vertex to the point of section shall bisect the vertical angle. VI....
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Sessional Papers, Volume 22, Part 2

Great Britain. Parliament. House of Commons - Great Britain - 1900 - 686 pages
...have the same ratio which the other sides of the triangle have to one another ; and if the segments of the base have the same ratio which the other sides of the triangle have to one another, the straight line drawn from the vertex to the point of section shall bisect the 'vertical angle. If...
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Examination Papers

University of Toronto - 1900 - 1164 pages
...a triangle be bisected by a straight line which also cuts the base, the segments of the base shall have the same ratio which the other sides of the triangle have to one another. Prove also the converse of this. 4. To find a mean proportional between two given straight lines. Give...
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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - Boys - 1900 - 566 pages
...ratio which the other sides of the triangle have to one another ; and if the segments of the biiso have the same ratio which the other sides of the triangle have to one another, tjip straight line drawn from the vertex to the point of section shall bisect the vertical angle. If...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...have the same ratio which the other sides of the triangle have to one another, and if the segments of the base have the same ratio which the other sides of the triangle have to one another, the straight line drawn from the vertex to the point of section shall bisect the vertical angle. 11....
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